Abstract

Golden ratio is considered as an index of beauty in both natural and artificial objects. In this paper, we propose a method for generating face images based on the golden ratios discovered so far for facial beauty. For example, we focus on some existing golden ratios for facial beauty, where we solve underdetermined systems by introducing additional and reasonable equations. Experimental results showed that the proposed method generates natural face images based on user inputs. We also evaluated the beauty of the generated face images objectively and subjectively, and observed that the proposed method improved the evaluation scores on average for both objective and subjective evaluations. &nbsp

Highlights

  • Human faces play a role of signboards which inform their features, conditions and feelings to people around them, and are helpful for smooth communication between people as suggested by the term “face-to-face communication” [1]

  • We focus on the golden ratios related to facial beauty

  • The golden ratio is defined as the ratio of a to b satisfying the equation a : b = a + b : a, and the golden number φ = a/b ≈ 1.618 is a solution to the quadratic equation x2−x−1 = 0

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Summary

Introduction

Human faces play a role of signboards which inform their features, conditions and feelings to people around them, and are helpful for smooth communication between people as suggested by the term “face-to-face communication” [1]. Laurentini and Bottino have surveyed 181 researches on the computer analysis of human beauty [2], where they referred to a number of beauty canons for human body and its parts. We focus on the golden ratios related to facial beauty. The golden ratio is defined as the ratio of a to b satisfying the equation a : b = a + b : a, and the golden number φ = a/b ≈ 1.618 is a solution to the quadratic equation x2−x−1 = 0. The golden ratios for facial beauty are not restricted to this mathematical definition, and a variety of golden ratios have been proposed until now. In this paper, we would like to use the term “golden ratio” as a generic term to refer to those ratios on facial beauty

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